Question

The diagonal of a cuboid 5 root 2 cm .If it is length and breadth are 5 cm and 4 cm . Find the height of the cubiod . please answer thish question please please please

Answer 1

Hey

Given that :-

• Length = 5 cm

• Breadth = 4 cm

• Diagonal = 5√2 cm

Now ,

To find :- Height = ??.

We know that ,

d = √( l )² + ( b ) ² + ( h )²

=> √ ( 5 ) ² + ( 4 ) ² + ( h ) ² = 5√2

Squaring both sides ,

=> ( 5 ) ² + ( 4 ) ² + ( h ) ² = ( 5√2)²

=> 25 + 16 + h² = 50

=> 41 + h² = 50

=> h² = 50 - 41

=> h² = 9

=> h = √9

=> h = 3

So , height = 3 cm


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